DHS 14.2 - Option 5. Decisions Ryabushko AP

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1. Show that this expression is a total differential of the function u (x, y). Find u (x, y) function
1.5. (1 / (x + y) + cosxcosy-3x2) dx + (1 / (x + y) -sinxsiny + 4y) dy

2. Solve the following tasks:
2.5. Calculate the moment of inertia about the axis Oy semicubical arc of a parabola y2 = x3, between the points with abscissas x = 0 and x = 4/3.

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  • Added to the site 29.12.2016
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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DHS 14.2 - Option 5. Decisions Ryabushko AP
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